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14534104300 = 22521993532069
BaseRepresentation
bin11011000100100110…
…01101010011101100
31101111220110222221021
431202103031103230
5214231212314200
610402112143524
71023111563632
oct154223152354
941456428837
1014534104300
116189139751
122997537ba4
1314a8175121
149bc3c9352
155a0e8641a
hex3624cd4ec

14534104300 has 72 divisors (see below), whose sum is σ = 31802652000. Its totient is φ = 5765253120.

The previous prime is 14534104289. The next prime is 14534104301. The reversal of 14534104300 is 340143541.

14534104300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145341043002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14534104301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7023666 + ... + 7025734.

It is an arithmetic number, because the mean of its divisors is an integer number (441703500).

Almost surely, 214534104300 is an apocalyptic number.

14534104300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14534104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901326000).

14534104300 is an abundant number, since it is smaller than the sum of its proper divisors (17268547700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14534104300 is a wasteful number, since it uses less digits than its factorization.

14534104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 14534104300 its reverse (340143541), we get a palindrome (14874247841).

The spelling of 14534104300 in words is "fourteen billion, five hundred thirty-four million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 353 398 706 796 995 1412 1765 1990 2069 3530 3980 4138 4975 7060 8276 8825 9950 10345 17650 19900 20690 35300 41380 51725 70247 103450 140494 206900 280988 351235 411731 702470 730357 823462 1404940 1460714 1646924 1756175 2058655 2921428 3512350 3651785 4117310 7024700 7303570 8234620 10293275 14607140 18258925 20586550 36517850 41173100 73035700 145341043 290682086 581364172 726705215 1453410430 2906820860 3633526075 7267052150 14534104300